424493664 has 288 divisors, whose sum is σ = 1389975552. Its totient is φ = 112896000.

The previous prime is 424493659. The next prime is 424493669. The reversal of 424493664 is 466394424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424493659) and next prime (424493669).

It is a super-2 number, since 2×424493664² = 360389741552289792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424493669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5978749 + ... + 5978819.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^424493664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

424493664 is an abundant number, since it is smaller than the sum of its proper divisors (965481888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424493664 is a wasteful number, since it uses less digits than its factorization.

424493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 424493664 is about 20603.2440164164. The cubic root of 424493664 is about 751.5486011342.

The spelling of 424493664 in words is "four hundred twenty-four million, four hundred ninety-three thousand, six hundred sixty-four".